65827593216 has 660 divisors, whose sum is σ = 247199551984. Its totient is φ = 17079828480.

The previous prime is 65827593193. The next prime is 65827593229. The reversal of 65827593216 is 61239572856.

65827593216 is a `hidden beast` number, since 6 + 5 + 8 + 27 + 593 + 21 + 6 = 666.

It is a super-2 number, since 2×65827593216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5443200) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70253100 + ... + 70254036.

Almost surely, 2^65827593216 is an apocalyptic number.

65827593216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65827593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123599775992).

65827593216 is an abundant number, since it is smaller than the sum of its proper divisors (181371958768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65827593216 is a wasteful number, since it uses less digits than its factorization.

65827593216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 960 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 65827593216 in words is "sixty-five billion, eight hundred twenty-seven million, five hundred ninety-three thousand, two hundred sixteen".